Q16 of 176 Page 21

Mark the correct alternative in each of the following:

If p, q be two A.M.’s and G be one G.M. between two numbers, then


Let the numbers be a,b.


∴ a,p,q,b (two A.M.)


⇒ a,G,b(one GM)


G2 = a.b(GM)


2p = a+q(AM)


2q = b+p(AM)


a = 2p-q


b = 2q-p


∴ a.b = (2p-q)(2q-p)


G2 = (2p-q)(2q-p)

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